Finally, it is likely that the arguments and results of the present paper can be extended to soliton gases in other integrable dispersive hydrodynamic systems, particularly the focusing NLS equation, a canonical model for the description of modulationally unstable physical systems. The spectral theory of soliton and breather gases for the focusing NLS equation has been developed in [1]} but the counterpart GHD description can provide further insights into the fundamental phenomena of integrable turbulence and rogue wave formation.
